Grade 8 - Number
Standard 8.N.6 - Practice solving multiplicative inverses.
Included Skills: Fractions
Demonstrate an understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially and symbolically. • Identify the operation required to solve a given problem involving positive fractions. • Provide a context that requires the multiplying of two given positive fractions. • Provide a context that requires the dividing of two given positive fractions. • Estimate the product of two given positive proper fractions to determine if the product will be closer to 0,1/2 or 1. • Estimate the quotient of two given positive fractions, and compare the estimate to whole number benchmarks. • Express a given positive mixed number as an improper fraction and a given positive improper fraction as a mixed number. • Model multiplication of a positive fraction by a whole number concretely or pictorially, and record the process. • Model multiplication of a positive fraction by a positive fraction concretely or pictorially, using an area model, and record the process. • Model division of a positive proper fraction by a whole number concretely or pictorially, and record the process. • Model division of a whole number by a positive proper fraction concretely or pictorially, using an area model, and record the process. • Model division of a positive proper fraction by a positive proper fraction pictorially, and record the process. • Generalize and apply rules for multiplying and dividing positive fractions, including mixed numbers. • Solve a given problem involving positive fractions, taking into consideration order of operations (limited to problems with positive solutions). • Apply a personal strategy to solve, symbolically, a given division problem involving improper fractions. • Refine personal strategies to increase their efficiency.